Consider the following problem, that we call “Chordless Path through Three Vertices” or CP3V, for short: Given a simple undirected graph G = (V, E), a positive integer k, and t...
The Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices terminals. We present a new polynomial-time heurist...
We present a framework for an automated generation of exact search tree algorithms for NP-hard problems. The purpose of our approach is two-fold--rapid development and improved up...
In the undirected Edge-Disjoint Paths problem with Congestion (EDPwC), we are given an undirected graph with V nodes, a set of terminal pairs and an integer c. The objective is to...
Matthew Andrews, Julia Chuzhoy, Venkatesan Guruswa...
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...